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                数树                </h1>
                <p>时间限制：3s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><p><span style="font-size: medium"><span style="color: #200000; font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">小强不像他的朋友阿米巴那样热爱化学；相反，小强最喜欢的事情是数数，特别有的时候喜欢数树。</span><span lang="EN-US" style="color: #200000; font-family: &quot;Times New Roman&quot;; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体"><br />
</span><span style="color: #200000; font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">　　小强发现来自自然界的一类无根树很特别：它们的所有非叶子节点的度数都是一样的。小强管这种无根树叫做正则无根树。例如，</span><span lang="EN-US" style="color: #200000; font-family: &quot;Times New Roman&quot;; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体">14</span><span style="color: #200000; font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">个点的度数限制为</span><span lang="EN-US" style="color: #200000; font-family: &quot;Times New Roman&quot;; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA; mso-fareast-font-family: 宋体">4</span><span style="color: #200000; font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">的正则无根树有以下２种：</span></span></p>
<p><span style="font-size: medium"><span style="color: #200000; font-family: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><img alt="" src="../file/2569_0.jpg" /></span></span></p>
<p></p>
<p></p>
<div style="background: white; text-indent: 24pt" align="left"><span style="font-size: 12pt; color: #200000">小强想数</span><span style="font-size: 12pt; color: #200000">N</span><span style="font-size: 12pt; color: #200000">个点的度数限制为</span><span style="font-size: 12pt; color: #200000">M</span><span style="font-size: 12pt; color: #200000">的正则无根树有多少种。在热爱化学的阿米巴的怂恿下，小强把</span><span style="font-size: 12pt; color: #200000">M</span><span style="font-size: 12pt; color: #200000">的范围限制在了</span><span style="font-size: 12pt; color: #200000">4</span><span style="font-size: 12pt; color: #200000">以下，至于这么做在化学、量子物理学和哲学上的理由，小强至今没有搞懂。</span><span style="font-size: 12pt; color: #200000"><br />
</span><span style="font-size: 12pt; color: #200000">　　现在，你要写程序来满足小强数树的愿望。</span></div>
<div style="background: white" align="left"></div></p><hr/><h3>输入格式</h3><p><div style="background: white" align="left"><span style="font-size: 12pt; color: #200000">　　一行用短线（减号）连接的两个整数</span><span style="font-size: 12pt; color: #200000">N</span><span style="font-size: 12pt; color: #200000">和</span><span style="font-size: 12pt; color: #200000">M</span><span style="font-size: 12pt; color: #200000">。</span></div>
<div style="background: white" align="left"></div></p><hr/><h3>输出格式</h3><p><div style="background: white" align="left"><span style="font-size: 12pt; color: #200000">　　一行，表示</span><span style="font-size: 12pt; color: #200000">N</span><span style="font-size: 12pt; color: #200000">个点的度数限制为</span><span style="font-size: 12pt; color: #200000">M</span><span style="font-size: 12pt; color: #200000">的正则无根树的个数。保证这个数不是</span><span style="font-size: 12pt; color: #200000">0</span><span style="font-size: 12pt; color: #200000">。</span></div>
<div style="background: white" align="left"></div></p><hr/><h3>样例输入</h3><pre>14-4
</pre><hr/><h3>样例输出</h3><pre>2


　　对于所有的测试点，1<=N，1<=M，保证答案不是0。
　　对于第1个测试点，M=1
　　对于第2个测试点，M=2
　　对于第3~5个测试点，M=3，N<=202，其中，对于第3、4个测试点，N<=22
　　对于第6~9个测试点，M=4，N<=902，其中，对于第6个测试点，N<=32
　　对于第10个测试点，N=6002，M=4。
　　一共10个测试点
 

 
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>2012国家集训队Round 1 day4 版权所有者：范浩强</p>
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